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Finding the Fourth Proportional to 35,704.19, 49,271.04 and 19,788.50

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Solution

The fourth proportional to 35,704.19, 49,271.04 and 19,788.50 is: 27,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.19 : 49,271.04 = 19,788.50 : x
  2. Step 2: Convert to fraction form
    35,704.19/49,271.04 = 19,788.50/x
  3. Step 3: Cross multiply
    35,704.19x = 49,271.04 × 19,788.50
  4. Step 4: Simplify right side
    35,704.19x = 975,000,098.22
  5. Step 5: Solve for x
    x = 975,000,098.22/35,704.19
  6. Step 6: Final answer
    x = 27,307.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.